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Simplifying 0.5n + 7 = 0.33n + 9 Reorder the terms: 7 + 0.5n = 0.33n + 9 Reorder the terms: 7 + 0.5n = 9 + 0.33n Solving 7 + 0.5n = 9 + 0.33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.33n' to each side of the equation. 7 + 0.5n + -0.33n = 9 + 0.33n + -0.33n Combine like terms: 0.5n + -0.33n = 0.17n 7 + 0.17n = 9 + 0.33n + -0.33n Combine like terms: 0.33n + -0.33n = 0.00 7 + 0.17n = 9 + 0.00 7 + 0.17n = 9 Add '-7' to each side of the equation. 7 + -7 + 0.17n = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 0.17n = 9 + -7 0.17n = 9 + -7 Combine like terms: 9 + -7 = 2 0.17n = 2 Divide each side by '0.17'. n = 11.76470588 Simplifying n = 11.76470588
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